Finding the Third Proportional to 41,802 and 90,516

Step by Step Solution

1. Step 1: Write the proportion equation
   41,802 : 90,516 = 90,516 : x
2. Step 2: Convert to fraction form
   41,802/90,516 = 90,516/x
3. Step 3: Cross multiply
   41,802x = 90,516 × 90,516
4. Step 4: Simplify right side
   41,802x = 8,193,146,256
5. Step 5: Solve for x
   x = 8,193,146,256/41,802
6. Step 6: Final answer
   x = 195,998.91